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In figure, find the velocity of m1 in ms...

In figure, find the velocity of `m_1` in `ms^-1` when `m_2` falls by `9m`.

Given `m_1=m`, `m_2=2m` (take `g=10ms^-2`).

Text Solution

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The correct Answer is:
4
From constrains we can show that if at any time velocity of `m_2` is v, then velocity of `m_1` will be `4v`. Similarly, for displacement.
Applying work-energy theorem, `K_f-K_i=`Work done =W
`1/2m_2v^2+1/2m_1(4v)^2=m_2gxxy-mum_1g(4y)`,
where `y=9m`
`implies v=4ms^-1`
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